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10-21【周国立】取消 吴文俊数学重点实验室之概率统计系列报告

澳门新葡新京:万宏艳发布时间:2020-10-16浏览次数:260


报告题目:Global well-posedness and regularity of 3D Burgers equations with multiplicative noise

 

报告人:周国立 教授,重庆大学  

 

时间:1021(周三),下午4:00-5:00

 

Tencent会议:会议 ID256 297 280 会议密码:123456


报告摘要:

In the present work, we establish the existence and uniqueness for the mild solutions, weak solutions and strong solutions to 3D stochastic Burgers equations with linear multiplicative noise. More-over, we obtain the moments estimates in various functional spaces for this stochastic equations. The proofs of main results heavily rely on the maximum principle. This work may open the way to study anticipating multidimensional stochastic Burgers equations, dynamics of multidimensional stochastic Burgers equations and the averaging principle for multidimensional stochastic Burgers equations. As far as we know, there is few work about the long-time behavior of the 3D stochastic Burgers equations, we will point out the key difficulties in our work.


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